Lectures related to Charles Babbage's Story

Charles Babbage: The Analytical Engine

Delves into Charles Babbage's quest to create early computing machines, revolutionizing technology and paving the way for modern computers.

Optimal Transport: From Theory to Applications

Explores the history, theory, and applications of optimal transport in various fields, showcasing its importance in solving complex mathematical problems.

Sets and Operations: Introduction to Mathematics

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Optimization Methods: Convergence and Trade-offs

Covers optimization methods, convergence guarantees, trade-offs, and variance reduction techniques in numerical optimization.

Derivatives and Continuity in Mathematics

Covers derivatives, continuity, Rolle's Theorem, function examples, and extrema.

Primal-dual Optimization: Extra-Gradient Method

Explores the Extra-Gradient method for Primal-dual optimization, covering nonconvex-concave problems, convergence rates, and practical performance.

Multiple Integrals: Techniques and Properties

Explores multiple integrals, techniques, properties, and center of gravity calculation in various domains.

Principal Components: Properties & Applications

Explores principal components, covariance, correlation, choice, and applications in data analysis.

Discriminant Analysis: Bayes Rule

Covers the Bayes discriminant rule for allocating individuals to populations based on measurements and prior probabilities.

Inductive Series

Covers the concept of inductive series and their convergence conditions.

Example Type 3

Covers changing variables in integrals with a focus on exponential functions.

Derivative of an Integral with Parameter

Covers deriving integrals with parameters and their derivatives, including special cases and proofs.

Integrals of Paths

Covers the concept of integrals of paths with examples and applications.

Copulas: Properties and Applications

Explores copulas in multivariate statistics, covering properties, fallacies, and applications in modeling dependence structures.

Programming Thymio with Aseba Studio

Demonstrates students using Aseba Studio to learn programming basics and computational thinking through math-related activities.

Integration by Substitution

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

Implicit Functions and Taylor Polynomials

Covers implicit functions, Taylor polynomials, and tangent equations.

Inequality Resolution: x + 4 / 2x + 1

Focuses on solving an inequality using a sign table method.

Dirichlet Series: Properties and Examples

Explores the properties and examples of Dirichlet series, highlighting their key characteristics and applications.

Bernoulli's Hospital Rule

Covers the statement of the Bernoulli's Hospital Rule and its application.